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Mathematics 18 Online
OpenStudy (anonymous):

x^3y^-4/x^-2y^-2 simplify

OpenStudy (marissalovescats):

Do you know the rule with negative powers?

OpenStudy (anonymous):

you change it to the reciprocal?

OpenStudy (marissalovescats):

Yup so draw that out for me

OpenStudy (whpalmer4):

Yep. \[x^{-n} = \frac{1}{x^n}\]

OpenStudy (primeralph):

Can you input the problem in a clearer way?

OpenStudy (whpalmer4):

\[\frac{x^3y^{-4}}{x^{-2}y^{-2}} \]

OpenStudy (whpalmer4):

right?

OpenStudy (anonymous):

yeah

OpenStudy (whpalmer4):

@marissalovescats approach is a fine one, but you also just go directly to simplifying if you are comfortable subtracting negative numbers (read: you do it without making mistakes)

OpenStudy (whpalmer4):

"but you can also"

OpenStudy (anonymous):

would I subtract the exponets first or do the reciprocal?

OpenStudy (marissalovescats):

Yeah thats what I was thinking ^^^ Because the division bar acts as subtraction for the powers.

OpenStudy (whpalmer4):

let's do it both ways, so you can see which you prefer. do it by reciprocals first...

OpenStudy (anonymous):

|dw:1373162451486:dw|

OpenStudy (anonymous):

im not sure if that's right

OpenStudy (marissalovescats):

|dw:1373162447251:dw| I think thats thye recipricol way but I could be wrong @whpalmer4

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